Question
Download Solution PDFA wind turbine with a rotor diameter of 60 m is installed in an area with an average wind speed of 4 m/s. Find the wind power density in watts per square metre, assuming that the air density in the area is 1.5 kg/m3.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
The wind power density of a wind turbine is given by:
\(W={1\over 2}ρ A V^3\)
where, W = Wind power density
ρ = Air density
A = Swept area of blades
V = Wind speed
Calculation
Given, ρ = 1.5 kg/m3
A = \(\pi r^2={\pi}(30)^2\) = 2827.43 m2
V = 4 m/s
\(W={1\over 2}\times 1.5 \times 2827.43\times (4)^3\)
W = 135716.80 W/m2 = 135.67 KW/m2
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